An arithmetic Riemann-Roch theorem in higher degrees

DOI10.5802/aif.2410zbMath1152.14023arXiv0802.1400OpenAlexW2140857453MaRDI QIDQ954822

Henri A. Gillet, Damien Roessler, Christophe Soule

Publication date: 18 November 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1400

zbMATH Keywords

Arakelov geometryarithmetic intersection theoryanalytic torsion formGrothendieck-Riemann-Roch theorm

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Determinants and determinant bundles, analytic torsion (58J52) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

The direct image of a flat fibration with complex fibers, Arakelov motivic cohomology I, Arakelov motivic cohomology II, Analytic torsion forms for fibrations by projective curves, Hermitian structures on the derived category of coherent sheaves, The asymptotics of the holomorphic torsion forms, The asymptotics of the holomorphic analytic torsion forms, Differential \(K\)-theory and localization formula for \(\eta \)-invariants, The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms, An index theorem in differential \(K\)-theory, On the full asymptotics of analytic torsion, Orbifold Submersion and Analytic Torsions

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